Are University of Puget Sound students growing taller during their college years? Investigate this as follows:

Test the hypothesis that the mean heights of first-year students and fourth-year students are equal.

Test the same hypothesis for female students only, and then test the same hypothesis for male students only. Are these results different from what you found in the previous part of the problem?

Background on the data set

Each semester in all of the Introductory Statistics sections at the University
of Puget Sound, a survey is given to the students during the first week of class.
The survey is voluntary and is used as an example data set throughout the class.

The data set given here is a compilation of much of the data collected in
the period from the Fall 2002 semester through the Spring 2008 semester.
Values that have been
determined to be incorrect (such as 8-foot tall students) have been removed
from this data set.